An Elastic Model for Non-Brownian Motion of Nanoparticles

ABSTRACT

Recently, nanomechanics research has been quite popular and significant in estimating the mechanics properties of nanoparticle used in electronics engineering, material engineering, mechanical engineering, and construction engineering. Nanomachines working in the fluid are the size of Brownian particles, however, some movements, such as biomolecular motions in which the variance of nanoparticle position is nonlinear in tiny times, are therefore called non-Brownian motion. In the present study, we propose a model of a nanoparticle by considering it as an elastic body instead of assuming it is rigid. The modeling of the nanoparticle and then the modeling of impact transfer are adopted to predict the non-Brownian motion. By solving the stochastic governing equation for the nanoparticle, we are able to estimate the variance of nanoparticle motion with respect to time. The results based on the proposed model match with those by experimental observations. In conclusion, the proposed model can be adopted to measure the mechanics properties of nanoparticles; these properties will enable us to manipulate the nanoparticles such as biomolecules and to control an autonomous machine in nanosize.

Key Words:

• Biomolecules
• Nanomachines
• Nanomechanics
• Weiner process

Notes

Communicated by S. Velinsky.